The Great Stupa at Sanchi is one of the oldest stone structures in India, and
an important monument of Indian Architecture. It was originally
commissioned by the emperor Ashoka in the 3rd century BCE. Its nucleus
was a simple hemispherical brick structure built over the relics of the
Buddha. .It Is a perfect example of combination of solid figures. A big
hemispherical dome with a cuboidal structure mounted on it.
i) Calculate the volume of the hemispherical dome if the radius of the dome
is 3m . (take = 22/7)
a) 18 cu. m b)36 cu .m
c) 6 cu. m d) 54 cu. m
1
II) The formula to find the Volume of Sphere is-
a) 2
3
3
b) 4
3
3
c) 4
2
d) 2
2
1
III) The cloth require to cover the hemispherical dome if the radius of its base
is 14m
(a) 382 sq. m (b) 352 sq. m
(c) 392 sq. m (d) 288 sq. m
1
iv) The total surface area of the hemisphere
a) 2
2
b) 3
2
)
2
3
2
)
4
3
2
1
v) Total surface area of cuboid with dimensions 8m x 6 m x 4 m is
a)104sq. m b) 160 sq. m c) 112 sq. m d) 208 sq. m 1
Answers
Given : combined figure hemispherical dome with radius 14 m
and cuboidal shaped top with dimensions 8m x 6m x 4m
To Find : The total surface area of the combined figure
Solution:
The formula to find the volume of sphere is (4/3)πR³
R = Radius of sphere
Total surface area of sphere = 4πR²
The cloth require to cover the hemispherical dome if the radius of its base is 14m is
2πR² = 2(22/7)14² = 1232 sq.m
The total surface are of the combined figure i.e hemispherical dome with radius 14 m and cuboidal shaped top with dimensions 8m x 6m x 4m is
= 1232 + 2 * 8 (6 + 4)
= 1392 sq.m
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